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检索条件"任意字段=第十五届全国非线性振动暨第十二届全国非线性动力学与运动稳定性学术会议"

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Periodic bursting oscillations as well as bifurcation mechanisms in piecewise smooth Chua's circuit

Periodic bursting oscillations as well as bifurcation mechan...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：李绍龙 Zhang Zheng-di Lu Hui-ling Bi Qin-sheng Faculty of Science Jiangsu University

A numerical investigation of complex bursting oscillations caused by the transition of the system trajectories among multi-stabilities is revealed in this *** on Chua's circuit,the three-order piecewise smooth circuit system with single non-smooth boundary has been established in this ***,by parallels connecting periodically alternated voltage source as well as suitable values for the parameters to ensure that there exists order gap between the natural frequency and the exited frequency,a two time-scales,namely,a fast-slow coupled system has been *** on the generalized autonomous system,the stabilities of the equilibrium points are invested in each region from which the critical conditions related to different bifurcation behaviors are *** the same time,combing the theory of Clarke differential inclusions to analyze which type of non-conventional bifurcation may occur when the trajectory passes across the non-smooth ***,combing generalized phase portraits,two types of periodic bursting phenomenon,namely,symmetric fold/fold and symmetric fold/supHopf/fold/subHopf/subHopf periodic bursters as well as their bifurcation mechanisms have been analyzed in details.

关键词： two time-scales bursting piecewise smooth

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Stability analysis and synchronization of fractional-order Hopfield neural networks

Stability analysis and synchronization of fractional-order H...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者： Li Te Wu Ying State Key Laboratory for Strength and Vibration of Mechanical Structures School of AerospaceXi'an Jiaotong University

Although fractional calculus has a long history,it has been applied to physics and engineering until *** scientists became aware of the fact that the description of some phenomena is more accurate by using fractional derivatives,and many systems in interdisciplinary fields can be successfully described by fractional differential *** major advantage of fractional-order models is that fractional derivatives provide an excellent tool for the description of memory and hereditary properties of various *** recent years,fractional calculus was introduced to neural networks,which can better describe the dynamical behavior of the neurons,such as"memory".It was pointed out that fractional derivatives provide neurons with a fundamental and general computation ability that can contribute to efficient information processing,stimulus anticipation and phase shifts of oscillatory neuronal firing,emphasizing the importance of studying fractional-order models of neural network ***,the introduction of fractional derivatives into a neural network model is an important *** analysis of fractional-order artificial neural networks is a very recent and promising research *** this paper,we discuss the stability analysis for fractional-order Hopfield neural *** stability state is characterized with respect to some characteristic parameters of the ***,based on the stability analysis,the synchronization is studied for the fractional-order Hopfield neural *** linear error feedback controller is designed to implement the synchronization of this fractional-order *** Simulations are presented to illustrate the validity of the proposed results.

关键词： fractional calculus neural networks stability synchronization

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Nonlinear characteristics of pendulum model with negative stiffness suspension

Nonlinear characteristics of pendulum model with negative st...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：李媛萍 CHEN Si-yu Key Lab of Disaster Forecast and Control in Engineering Ministry of Education of the People's Republic of China(Jinan University) Department of Mechanics and Civil Engineering Jinan University State Key Laboratory of High Performance Complex Manufacturing Central South University

Vibration and noise are important engineering problem and many methods have been developed to control and/or absorb the *** to now,there are a number of strategies to control the response of a system such as passive control,active control,semi-active control and hybrid *** achieve perfect performance of target system,the structures or mechanical systems should be designed to suit for different types of loading such as particularly dynamic and transient loads,and to obtain high static stiffness resulting in a small static deflection and a small dynamic stiffness resulting in a low natural *** mainaim of this paper is to improve the nonlinear pendulum system with negative stiffness suspension element with external excitation,and to explore the bifurcation and chaos characteristics contained in the pendulum *** governing equations of pendulum are derived by Lagrange *** analyze the bifurcation of nonlinear response of pendulum system,the phase portrait and bifurcation diagram are obtained ***,the Floquet multipliers are obtained by solving the perturbation equation with original equation with numerical *** results show that the main responses of pendulum system are periodic,and through saddle node bifurcation the system come into chaotic *** parametric resonance may occur when the excitation frequency closed to the natural frequency at vertical direction of whole *** variation of stiffness and excitation frequency has a large influence on the performance of the pendulum,and the amplitude of excitation may deduce unbounded motion in the resonance region.

关键词： Pendulum Bifurcation Floquet multiplier chaotic motion Suspension

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Pinning synchronization for directed complex dynamical networks via decentralized adaptive intermittent control

Pinning synchronization for directed complex dynamical netwo...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：蔡水明 Liu Zeng-rong Faculty os Science Jiangsu University Institute of Systems Biology Shanghai University

In this paper,by introducing local adaptive strategies to intermittent feedback control gains,we develop a novel decentralized adaptive intermittent pinning-control scheme for synchronization of directed complex dynamical networks without requiring global information of the underlying *** on the mathematical induction method and the analysis technique,some sufficient conditions for globally exponential synchronization of the directed dynamical networks under such adaptive intermittent pinning control are derived through constructing a piecewise Lyapunov *** derived results are shown to be less conservative and more practically applicable than correspondingly previous *** is noted that the adaptive update law of intermittent feedback control gain for a controlled node only relies on the state information of the controlled node itself and the information of the desired synchronized state of the networks other than the state information from all nodes in the ***,a detail pinned-node selection scheme deciding what nodes should be preferentially considered to be pinned and how many nodes are needed to be pinned for a fixed coupling strength is ***,numerical simulations,including an undirected scale-free network and a directed small-world network,are given to illustrate the applicability and efficiency of the theoretical results.

关键词： Directed dynamical networks Pinning synchronization Decentralized adaptive intermittent control Piecewise Lyapunov function

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A forward selection reverse path method for spatial location identification of nonlinearities in MDOF systems

A forward selection reverse path method for spatial location...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：张明威 Z.K.Peng X.J.Dong W.M.Zhang G.Meng State Key Laboratory of Mechanical System and Vibration Shanghai Jiao Tong University

With the growing demands on accurately analyzing the dynamic behavior of engineering structures,it is sometimes inevitable to take nonlinear effects into *** a structure which may have several local nonlinearities,locations and types of the nonlinearities are usually needed to be determined firstly to make the subsequent procedure of parameter estimation more efficient and *** paper presents a new approach to identify all the locations of possible nonlinearities in a multiple-degree-of-freedom(MDOF)*** method is a spectral approach since it is based on the reverse path(RP)***,as a forward selection approach,it is able to identify nonlinearities among all the various possible ones with different types and locations one by *** forward selection characteristic makes the method able to suffer less computational burden than using a iterate brute-force method when there exist several nonlinearities in the ***,the method only needs one single excitation point which could be located at any node in the structure and no prior information about the underlying linear system is *** possible drawback is that in order to calculate the internal nonlinear forces,the response measurements at all the possible nonlinear nodes are needed.

关键词： spatial location identification nonlinear identification reverse path method forward selection

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Noise-induced bistable switching dynamics in a new interlinked positive feedback loops model

Noise-induced bistable switching dynamics in a new interlink...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者： Bi Yuan-hong Yang Zhuo-qin School of Mathematics and Systems Science and LMIB Beihang University

Interlinked positive feedback loops,as an important building block of biochemical system,can induce a bistable switching leading to long-lasting state changes by brief stimuli.A single positive feedback loop with some ultrasensitivity is considered sufficient to act as a bistable ***,multiple interconnected positive feedback loops are frequently found in subnetworks of large cellular and genetic networks over a range of biological *** studies have used generic models extracted from many realistic biological circuits to examine how organisms might gain an advantage by using reinforcing positive feedback *** now these generic models have not considered mutual activation between species,even though it is a prevalent *** this work,the prevalent mutual activation between two species as another positive feedback is added into a generic interlinked positive feedback loops model based on many realistic biological *** biological system,single-parameter control is ubiquitous,and noise originated from single-parameter fluctuation often brings additional fluctuations larger than other noise *** we introduce a stochastic fluctuation of the positive feedback strength between these two species to investigate noise-induced bistable switching dynamics and population dynamics on the stochastic switching between two stable steady states,based on the fraction of transition induced by both the feedback strength and noise ***,we apply stability analysis based on the potential energy landscape to explore the noise-induced switching behavior of these two stable steady states.

关键词： Stability Bifurcation Noise Bistable switching Potential energy landscape

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Multi-objective optimal control design for adaptive cruise control

Multi-objective optimal control design for adaptive cruise c...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：李响 SUN Jian-qiao Department of Mechanics Tianjin University School of Engineering University of California

While traditional traffic control strategies have shown their merits in increasing safety and vehicular flow for *** emerging adaptive cruise control(ACC)has a potential to substantially improve the safety and efficiency of the traffic *** current ACC systems emphasize vehicle tracking performance with limited consideration of driving comfort and fuel *** paper presents a multi-objective design strategy for ACC taking into account both the vehicle tracking performance and fuel *** have been many studies of multi-objective optimization control design for linear systems,and much less for nonlinear *** algorithms have been developed to solve multi-objective optimization problems(MOPs).In this paper,we shall adopt the cell mapping *** cell mapping method was developed for global analysis of nonlinear dynamic ***,it is extended to multi-objective optimization *** paper presents a multi-objective optimal design of adaptive cruise control of vehicles with a hybrid cell mapping *** optimally designed control is compared with a modal predictive control(MPC),which has been used to solve MOPs of ACC design by many *** is an on-line algorithm that has much computation burden,and thus not efficiently *** have found that the cell mapping method for multi-objective optimal control design is far more efficient than the on-line design of MPC,and that the multi-objective optimal control achieves excellent tracking performance and fairly low values of the objective functions compared with MPC.

关键词： multi-objective optimization adaptive cruise control PID control cell mapping method

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Controlling Neimark-Sacker bifurcation in a type of centrifugal governor system under weak impulse excitation

Controlling Neimark-Sacker bifurcation in a type of centrifu...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：吕增耀 WEN Gui-lin XU Hui-dong YIN Shan State Key Laboratory of Advanced Design and Manufacture for Vehicle Body College of Mechanical and Vehicle EngineeringHunan University

The centrifugal governor plays an important role in many rotational machines such as diesel engine,steam engine and so *** this paper,the two types of impulse excitation caused by non-smooth impact-rub of the rotor system are applied to *** feedback control problem of designing Neimark-Sacker bifurcation in a centrifugal governor system is addressed.A feedback control method is proposed to achieve three aspects of control objectives including existence,stability,and adjusting mean radius of cross section of the limit *** explicit criterion without using eigenvalue computation including eigenvalue assignment and transversality conditions is utilized to derive the linear gains responsible for control of the bifurcation *** center manifold theory and normal form reduction is utilized to derive the nonlinear gains responsible for control of the stability of the *** expression of mean radius of cross section of the limit torus is developed to derive the nonlinear gains responsible for controls of *** simulations for a centrifugal governor system show that Neimark-Sacker torus with desired properties can be created at any a pre-specified parameter point.

关键词： Control of bifurcation Neimark-Sacker bifurcation Weak impulse excitation Centrifugal governor system

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The stochastic Hopf bifurcation analysis in Motor system with random parameter

The stochastic Hopf bifurcation analysis in Motor system wit...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者： NAN Juan ZHANG Jian-gang DU Wen-ju Department of Mathematics Lanzhou Jiaotong University

The problem of stochastic response and stochastic bifurcation and chaos,together with their control,in a stochastic structure or a stochastic dynamical system is currently an interesting topic in mechanics,associated with a great scientific achievement in the past *** is not only due to the challenging topic itself but also due to its fruitful results in *** researching background of nonlinear dynamics is *** that,the development history and the current developments of stochastic nonlinear dynamical system with random parameter are introduced *** bifurcations of the stochastic nonlinear dynamical systems with random parameter are investigated in this *** main contents of this are as follows:We analyzed stochastic Hopf bifurcation of stochastic Motor system with bounded random parameter of an arch-like probability density *** modifier‘stochastic'here implies dependent on some random *** bifurcations phenomenon in Motor system with random parameter is explored in this paper,and analyzed the existing Hopf bifurcations phenomenon theoretically with the hopf bifurcation analysis method and carried out simulation *** according to the orthogonal polynomial approximation in Hilbert space,the Motor system with random parameter can be reduced into the deterministic equivalent ***,the obtained results show that Chebyshev polynomial approximation is an effective approach to dynamical problems in some typical nonlinear systems with bounded random parameter of an arch-like probability density *** the Hopf bifurcation in deterministic equivalent system is discussed by the theorem of existence of Hopf bifurcation and the first Lyapunov coefficient *** analyzing the Lyapunov exponent,invariant measure and singular boundary theory,its nonlinear stochastic stability is investigated and stochastic Hopf bifurcations are *** influence of bifurcation parameters on the sy

关键词： Stochastic chaos Stochastic Hopf bifurcation Chebyshev polynomial approximation Stability Supercritical Hopf bifurcation

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A study on periodic solutions for the circular restricted three-body problem

A study on periodic solutions for the circular restricted th...

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第十五届全国非线性振动暨第十二届全国非线性动力学和运动稳定性学术会议

作者：高发宝 ZHANG Wei School of Mathematical Science Yangzhou University College of Mechanical Engineering Beijing University of Technology

The circular restricted three-body problem(CR3BP) is a classic problem of celestial mechanics wherein one is interested in the motion of a particle of infinitesimal mass in the presence of two massive *** mathematician Poincare believed periodic solutions to be the unique avenue for solving the three-body ***,the celestial mechanic Szebehely also indicated that: "it is difficult to argue against the idea that periodic orbits are of the utmost importance in non-integrable dynamical system".In addition,period solutions play a very important role among many deep space exploration *** example,the halo orbit,utilized for the missions ISEE-3/ICE,Solar and Heliospheric Observatory,Genesis,and the like,is a three-dimensional periodic solution near the colinear equilibrium points in the three-body *** this paper,for the CR3 BP in the inertial frame,we interpret the fact that there is no non-trivial 2 π-periodic solution of the problem' s homogeneous ***,based on Reissig' s theory,the existence of periodic solutions for the CR3 BP is proved rigorously by using the above fact in conjunction with an a priori *** is significant that the existence of periodic solutions of the CR3 BP is mainly influenced by factors such as initial values,primary masses,and selection of the problem' s control ***,the family of periodic solutions for the CR3 BP are simply classified according to the notations introduced by Henon and *** addition,it is significant that until now the analytic proof of Poincare' s first class solutions was given only when the mass parameter was sufficiently ***,the proof addressed in this paper works for all values of the mass parameter in the interval(0,1).

关键词： celestial mechanics methods:analytical minor planets,asteroids:general

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